Question

hello If the sum of two numbers is 55 and the H.C.F and L.C.M of these numbers

are 5 and 120 respectively then the sum of the reciprocals of the numbers is

equal to?​

Answer 1

Answer:

1/40+1/15=11/120

Step-by-step explanation:

now let x and y be the two numbers

x+y=55

given that HCF is 5,

x and y should be a multiple of 5.

therefore the possibilities are

50+5, 45+10, 40+15, 35+20 and 30+25

also it is given that LCM of these numbers is 120

therefore, from the above set of possibilities only LCM of 40 and 15 is 120.

so x and y are 40 and 15

therefore, sum of reciprocal= 1/40+1/15=11/120